Periodic Wavelets in Walsh Analysis

Authors

  • Yu. A. Farkov Russian State Geological Prospecting University, 23, Ulitsa Miklukho - Maklaya, Moscow 117997

DOI:

https://doi.org/10.26713/cma.v3i3.207

Keywords:

Walsh functions, Periodic wavelets, Cantor dyadic group, $p$-adic Vilenkin group

Abstract

The main aim of this paper is to present a review of periodic wavelets related to the generalized Walsh functions on the $p$-adic Vilenkin group $G_p$. In addition, we consider several examples of wavelets in the spaces of periodic complex sequences. The case $p = 2$ corresponds to periodic wavelets associated with the classical Walsh functions.

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References

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How to Cite

Farkov, Y. A. (2012). Periodic Wavelets in Walsh Analysis. Communications in Mathematics and Applications, 3(3), 223–242. https://doi.org/10.26713/cma.v3i3.207

Issue

Vol. 3 No. 3 (2012)

Section

Research Article

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